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Finding the Third Proportional to 945.70 and 2,021.70

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Solution

The third proportional to 945.70 and 2,021.70 is: 4,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.70 : 2,021.70 = 2,021.70 : x
  2. Step 2: Convert to fraction form
    945.70/2,021.70 = 2,021.70/x
  3. Step 3: Cross multiply
    945.70x = 2,021.70 × 2,021.70
  4. Step 4: Simplify right side
    945.70x = 4,087,251.94
  5. Step 5: Solve for x
    x = 4,087,251.94/945.70
  6. Step 6: Final answer
    x = 4,321.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.